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Finding the Fourth Proportional to 458,423.84, 687,620.48 and 188,542.64

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Solution

The fourth proportional to 458,423.84, 687,620.48 and 188,542.64 is: 282,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,423.84 : 687,620.48 = 188,542.64 : x
  2. Step 2: Convert to fraction form
    458,423.84/687,620.48 = 188,542.64/x
  3. Step 3: Cross multiply
    458,423.84x = 687,620.48 × 188,542.64
  4. Step 4: Simplify right side
    458,423.84x = 129,645,780,617.27
  5. Step 5: Solve for x
    x = 129,645,780,617.27/458,423.84
  6. Step 6: Final answer
    x = 282,807.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.